Nothing like instilling a little fear into the family.
You know ... I AM the big dog hospital, and I know best, and if you take her away from ME ... wellll ... I can just tell you WHAT !
That is called informed consent. If they moved her and her heart stopped (she is already dead) then many would scream they didn’t know the risks. The remainder is plain old contract law and a court order thst is unambiguous. The hospital had nothing to do of say in it. Why do you hate the hospital so much?